Review Questions for Midterm

Review Questions for Midterm - What is Taylor series...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
What is Taylor series expansion in 1-D and 2-D? What is the truncation error in the Taylor series expansion? What does that tell us? What is truncation error in approximating various derivatives using forward difference, backward difference and central difference? How is a floating number represented in a computer? What is the mantissa? Given x= ± . d 1 d 2 d 3 ... d p * B e , -E min e E max , how do you determine the largest possible value for x? What is the machine epsilon? What are the overflow and underflow? What is roundoff error? What are the major difference between chopping and rounding? How does truncation error and roundoff error interact in a computation? How to define error and relative error? How does error propagate in addition/subtraction, multiplication/division, and function evaluation? What is the main idea in bisection method for root finding? How to implement it? What is the rate of convergence or how does the error decrease during iteration?
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern